Yes But it would be a very small one. Tachyons are a putative class of particles which able to travel faster than the speed of light. Tachyons were first proposed by physicist Arnold Sommerfeld, and named by Gerald Feinberg. The word tachyon derives from the Greek (tachus), meaning "speedy." Tachyons have the strange properties that, when they lose energy, they gain speed. Consequently, when tachyons gain energy, they slow down. The slowest speed possible for tachyons is the speed of light. If a Tachyon traveled through local space, it would either pass through or possibly collide with the slower moving photons. This collision would knock the photon from its path and create a resulting shadow. It would also cause the tachyon to lose energy and speed up. If you can render this I would really like to see it! So would the Nobel Prize Comittee:)